10112112112111 has 2 divisors, whose sum is σ = 10112112112112. Its totient is φ = 10112112112110.

The previous prime is 10112112112093. The next prime is 10112112112129. The reversal of 10112112112111 is 11121121121101.

It is a balanced prime because it is at equal distance from previous prime (10112112112093) and next prime (10112112112129).

It is an emirp because it is prime and its reverse (11121121121101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10112112112111 - 2¹⁵ = 10112112079343 is a prime.

It is a super-2 number, since 2×10112112112111² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112112712111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056056056055 + 5056056056056.

It is an arithmetic number, because the mean of its divisors is an integer number (5056056056056).

Almost surely, 2^{10112112112111} is an apocalyptic number.

10112112112111 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112112112111 is an equidigital number, since it uses as much as digits as its factorization.

10112112112111 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 10112112112111 its reverse (11121121121101), we get a palindrome (21233233233212).

The spelling of 10112112112111 in words is "ten trillion, one hundred twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred eleven".